Eva measures the round temperature dial on a thermostat and calculates that it has an area of 6.1544 square centimeters. What is the dial's circumference?

Answer:

A: (-4,-3)

Step-by-step explanation:

In Quadrant III, both the x and y coordinates are negative. Therefore, the only correct choice is (-4,-3).

The statement that expresses the relationship between the two triangles are: ΔZYX  ~ Δ CBA. (Option C)

Two objects are comparable in Euclidean geometry if they have the same form or if one has the same shape as the mirror image of the other.

The triangles are comparable if two pairs of matching angles in a pair of triangles are congruent. We know this because if two angle pairs are equal, then the third pair must be equal as well.

When all three angle pairs are equal, the three side pairs must likewise be proportional.

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Answer:

3.5

Step-by-step explanation:

17.50 divided by 5 is 3.5 so 1 pound is 3.5

Answer:

75% of 250 is 187.5

Step-by-step explanation:

To determine the 75% of 250 use this formula

= n % of n

= n/100×n

= answer

Solution:-

75% of 250

→75% × 250

→75/100 ×250

→375/2

→187.5

The measure of each exterior angles of rectangle is 90°

From the question, we have the following parameters that can be used in our computation:

A rectangle

A rectangle is a polygon with 4 sides

So, the measure of the exterior angle can be calculated using the formula for the exterior angles in a polygon

The exterior angles in a polygon are found by using:

Exterior of a rectangle in a polygon =  360°/Number of sides of the polygon

In this case,

The number of sides of the rectangle = 4

So, we have

Exterior of a rectangle =  360°/4

Evaluate

Exterior of a rectangle =  90°

Hence, the value of the measure of each exterior angles of rectangle is 90°

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Complete question

Find the measure of each exterior angles of rectangle?

Step by step​

Part A:  If her finance charge will be $51, an equation to determine Rebecca's current credit card balance is x = (51 - 1) ÷ 0.02.

Part B: Rebecca can save $27 in finance charges by making the purchase on the last day of the billing cycle instead on the first day.

An equation is a mathematical statement showing that two or more mathematical expressions share equality in value.

Equations are depicted using the equation symbol (=).

A finance charge includes the interest and other fees charged on credit cards.

The finance charge is usually based on a stated APR (annual percentage rate).

The billing cycle for the month = 28 days

Current beginning balance = x

Annual percentage rate (APR) = 24%

Monthly percentage rate (MPR) = 2% (24% ÷ 12)

Purchase on the last day = $1,400

Total finance charge for the month = $51

Finance charge for the last-day purchase = $1 ($1,400 x 2% x 1/28)

Finance charge for the beginning balance = $50 ($51 - $1)

The current beginning balance, x = $2,500 ($50 ÷ 2%)

Equation for current beginning balance, x = 51 - 1 ÷ 0.02

Total finance charge for the last-day purchase = $28 ($1,400 x 2%)

Savings in finance charge by purchasing ont the last day = $27 ($28 - $1)

Thus, Rebecca can save $27 in finance charge when she purchases the $1,400 gift for her friend on the laset day of the billing cycle instead of on the first day.

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Answer:

The maximum distance between supports for the beam to support a weight of 1600 lb is also 4.5 feet.

Step-by-step explanation:

We are given that weight P is inversely proportional to the distance D between the supports of the beam, and for this certain type of wooden beam, we have:

P = 7200/D

To find the distance between supports needed to carry 1600 lb, we can substitute P = 1600 in the above equation and solve for D:

1600 = 7200/D

D = 7200/1600

D = 4.5 feet

So the distance between supports needed to carry 1600 lb is 4.5 feet.

To find the maximum distance between supports for the beam to support a weight of 1600 lb, we can use the same equation and solve for P = 1600:

1600 = 7200/D

D = 7200/1600

D = 4.5 feet

Therefore, the maximum distance between supports for the beam to support a weight of 1600 lb is also 4.5 feet.

Answer:

Development is necessary because without development a country cannot be developed and people cannot get enough raw materials.More people will suffer from poverty, health facilities and drinking water.

Answer:

Yes

Step-by-step explanation:

A = L x W

A = 236 x 85

A = 20,060

20,060 is more than 20,000 so yes

Answer:

Step-by-step explanation:

\(\frac{\pi r^2}{2 \pi } \times \theta=32\\\frac{1}{2} r^2 \times \theta=32\\r^2=\frac{32 \times 2}{\theta} \\r^2=\frac{64}{\theta} \\r=\frac{8}{\sqrt{\theta} }\)

substitute the value of θ and solve ,you get the value of radius r

......,,........,.....-.......

The median would best describe the centre of the distribution for a highly skewed right histogram of US household income.  The correct option is A.

The median is the value that separates the distribution into two equal parts and is less influenced by extreme values than the mean.

Since a highly skewed right distribution has a long tail on the right side, the mean is likely to be pulled towards that tail, making it an unreliable measure of the centre.

The mode, or most frequently occurring value, may not be useful for describing the centre of a skewed distribution. The variance is a measure of the spread or dispersion of the data, not its centre.

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Answer:

D

Step-by-step explanation:

it's 100% I'm super sure

Answer:

8/100

Step-by-step explanation:

The percentage 8% can be written as \(\frac{8}{100}\) as a fraction.

The percentage is a method of proportionating a given fraction out of 100. x% implies x out of 100 always. The method is used to facilitate comparison is part of a whole when the total figure differs in different cases.

Fraction, on the other hand, is simply the expression of part of a whole. The numerator referring to the part and denominator to the whole. The whole need not be 100.

The percentage 8% means 8 out of 100. Thus the fraction becomes \(\frac{8}{100}\).

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If the length of the rectangle be (3x+2) units and width (4x+10)units then the area of the rectangle be \($x=-\frac{2}{3}, x=-\frac{5}{2}$$\).

The region enclosed by an object's shape is referred to as the area. The area of the shape is the area that the figure or any other two-dimensional geometric shape occupies in a plane.

A rectangle's sides determine its area. In essence, the length and breadth of the rectangle multiplied together gives the area of the rectangle.

Let the length of the rectangle be (3x + 2) units and width of the rectangle be (4x + 10)units.

Area of rectangle = length × breadth

= (3x +2) × (4x +10)

simplifying the above equation, we get

= (3x) × (4x +10) + 2(4x +10)

= 12x² + 30x +8x +20

12x² + 38x + 20 = 0

simplifying the above equation, we get

By using quadratic equation, then

\($x_{1,2}=\frac{-38 \pm \sqrt{38^2-4 \cdot 12 \cdot 20}}{2 \cdot 12}$$\)

simplifying the above equation, we get

\($$\begin{gathered}x_{1,2}=\frac{-38 \pm 22}{2 \cdot 12}\end{gathered}$$\)

Separate the solutions, we get

\($$\begin{aligned}& x_1=\frac{-38+22}{2 \cdot 12}, x_2=\frac{-38-22}{2 \cdot 12} \\& x=\frac{-38+22}{2 \cdot 12}:-\frac{2}{3} \\& x=\frac{-38-22}{2 \cdot 12}:-\frac{5}{2}\end{aligned}$$\)

The solutions to the quadratic equation are:

\($x=-\frac{2}{3}, x=-\frac{5}{2}$$\)

The complete question is:

Find the area of rectangle with length (3x+2) units and width (4x+10)units.

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These triangles can be proven congruent by using ASA RULE.

What is congruent triangles and its rules ?

When two triangles are congruent, their three sides and their three angles match precisely.

If there is a turn or a flip, the equal sides and angles might not be in the same place, but they are still present.

ASA rule stands for Angle-Side-Angle rule which means two angles and a side of both triangles are equal.

Main Body:

In ΔTUV and ΔTWV

VT =VT                 ----(1)

∠VTU=∠TVW      -----(2)

As TUVW is a parallelogram

so, ∠T = ∠U

hence, ∠TVU =∠VTW    ----(3)

taking equation 1, 2,3

therefore, ΔTUV ≅ ΔTWV by ASA rule which means by Angle- Side- Angle rule.

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Answer:

24x^2

Step-by-step explanation:

When expanded (x+2)^4= x^4+8x^3+24x^2+32x+16

The only term that matches with these is 24x^2

Answer:

24x^2

Step-by-step explanation:

Answer:

\((a)\ C(x) = 6312.50 + 8.75x\)

\((b)\ R(x) = 34x\)

\((c)\ P(x) = 6312.50 -25.25x\)

\((d)\ Break\ Even = 250\ hours\)

Step-by-step explanation:

Solving (a): The cost function.

Given

\(Cost = \$6312.50\) --- cost of saxophone

\(Additional = \$8.75\) per hour

The cost function is: sum of the cost of the saxophone and the extra cost per hour.

If an hour costs 8.75, then x hours will cost 8.75x

So, the cost function is:

\(C(x) = Cost + Additional\)

\(C(x) = 6312.50 + 8.75x\)

Solving (b): The revenue function

Given

\(Charges = \$34.00\) per hour

The revenue function is the product of the unit charge by the number of hours.

If in an hour, she charges $34.00, then in x hours, she will cost 34x

So, the revenue function is:

\(R(x) = Charges * Hours\)

\(R(x) = 34.00 * x\)

\(R(x) = 34x\)

Solving (c): The profit function

This is the difference between the cost function and the revenue function

i.e.

\(P(x) = C(x) - R(x)\)

So, we have:

\(P(x) = 6312.50 + 8.75x - 34x\)

\(P(x) = 6312.50 -25.25x\)

Solving (d): The break even hours.

To do this, we simply equate the cost function and the revenue function, then solve for x

i.e.

\(C(x) =R(x)\)

\(6312.50 + 8.75x = 34x\)

Collect like terms

\(6312.50 =- 8.75x + 34x\)

\(6312.50 = 25.25x\)

Solve for x

\(x = \frac{6312.50}{25.25}\)

\(x = 250\)

Step-by-step explanation:

12x - 6 is your answer in simplified form

Given:

3x + 5 = -28 - 10

Let's find x.

3x + 5 = -28 - 10

3x + 5 = -38

Subtract 5 from both sides:

3z

Answer:

x = 4/5, and x = 3

Step-by-step explanation:

set both parts of the equation equal to 0

-5x+4 =0

-5x= -4

divide by -5

x= 4/5

x-3 = 0

x=3

The largest angle of the triangle is equal to 80 degrees.

Concept: Angle sum property of a triangle i.e., the sum of all angles of a triangle is equal to 180 degree

Given :  Degree measures of the angles in a triangle are in the ratio 2:3:4

Let one part of each angle of the triangle be x, so the different angles of triangle are 2x,3x,4x (taking the ratios given in the question  and multiplying by each of them by x)

2x +3x +4x = 180x

180x = 20

The angles of a triangle are 40,60,80

The largest angle of the triangle is equal to 80 degrees.

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For a solution to be the solution to a system, it must satisfy all the equations of that system. There exists no solution for the system of equations.

For a solution to be the solution to a system, it must satisfy all the equations of that system, and as all points satisfying an equation are in their graphs, so solution to a system is the intersection of all its equation at a single point(as we need a common point, which is going to be the intersection of course)(this can be one or many, or sometimes none)

For the three equations,

2x−2y+6z=16

3x+3y−4z=−5

x−y+3z=9

Solve the first equation for x,

2x−2y+6z=16

x = 8 + y - 3z

Now substitute the value of x in both the equations, if the two equations are satisfied, then the equation will have a solution, if it's not then no solution exists.

\(3\left(8+y-3z\right)+3y-4z=-5\\6y-13z+24=-5\\\\\\ 8+y-3z-y+3z=9\\ 8=9\)

Hence, There exists no solution for the system of equations.

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Answer:

A.) The reaper separated cotton fibers from cotton seed much faster than the manual

method used earlier.

B.) The reaper made it possible to communicate very quickly across a wire.

C.) The reaper replaced the old method of sewing clothes by hand.

D.) The reaper could cut grain much faster than the older method of harvesting by hand

with a scythe.Step-by-step explanation:

Answer:

1

Step-by-step explanation:

and they broke it bc the log couldn't support their weight

Answer:

1. 1,800

2. 1.8

3. 886

4.4,093

Answer:

1,000 meters

Step-by-step explanation:

Answer:

2/5 or 0.4.

Step-by-step explanation:

6/15 = 2/5

To find the height of the cylinder when the volume is given as 1500 in³ and the radius is 7 inches, we can use the formula for the volume of a cylinder:

Volume = π * r² * h

Substituting the given values, we have:

\(1500 = 3.14 * 7^2 * h1500 = 3.14 * 49 * h1500 = 153.86 * h\)

To solve for h, we divide both sides of the equation by 153.86:

h = 1500 / 153.86

h ≈ 9.75

Rounding the answer to the nearest hundredth, the height of the cylinder is approximately 9.75 inches.

Therefore, the height of the cylinder is 9.75 inches.

Note: It is important to use the accurate value of π, which is approximately 3.14159, for precise calculations. However, in this case, since you specified to use 3.14 for π, I have used that approximation to calculate the height.

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Answer:

41 meters

Step-by-step explanation:

\(\frac{31}{64}\) = \(\frac{19.8}{x}\)

31x = (19.8)(64)

31x = 1267.2  Divide both sides by 31 and round

x = 41